8/8/2019 To Test if There is a Difference in Mean Mile Per Gallon of Cars

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Objective: to test if there is a difference in mean mile per gallon of cars between American,Europian and

Japanese, when controlled for their Engine Displacement.

Method: a random sample of 254 American, 72 Europian and 78 Japanese cars were selected and their

mile per galon were recorded.

Statistical Analysis: the Analysis of Covariance ANCOVA procedure in SPSS version 17 was used to

answer the objective.

Results:

Table 1 The descriptive statistics are provided in table 1

Descriptive Statistics

Dependent Variable:Miles per Gallon

Country of

Origin Mean Std. Deviation N

American 20.13 6.377 248

European 27.89 6.724 70

Japanese 30.45 6.090 79

Total 23.55 7.792 397

Tests of Between-Subjects Effects

Dependent Variable:Miles per Gallon

Source

Type III Sum of

Squares df Mean Square F Sig.

Corrected Model 15797.115a 3 5265.705 251.014 .000

Intercept 94006.540 1 94006.540 4481.249 .000

engine 7812.157 1 7812.157 372.402 .000

origin 261.218 2 130.609 6.226 .002

Error 8244.257 393 20.978

Total 244239.760 397

Corrected Total 24041.372 396

a. R Squared = .657 (Adjusted R Squared = .654)

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Tests of Between-Subjects Effects gave a p-value of 0.002, which is less than 0.05. Thus at least one pair

of means difference significantly.

Pairwise Comparisons

Dependent Variable:Miles per Gallon

(I) Country of

Origin

(J) Country of

Origin

Mean Difference

(I-J) Std. Error Sig.a

95% Confidence Interval for

Differencea

Lower Bound Upper Bound

American European -.100 .736 1.000 -1.870 1.670

Japanese -2.298* .723 .005 -4.037 -.560

European American .100 .736 1.000 -1.670 1.870

Japanese -2.198*

.752 .011 -4.006 -.390

Japanese American 2.298*

.723 .005 .560 4.037

European 2.198* .752 .011 .390 4.006

In the pairwise comparison table there is significantly difference between means of mile per gallon of Japanese

cars and others when controlled for their Engine Displacement.

Based on Descriptive Statistics table the mean of mpg for Japanese cars was significantly higher

compared to the others.

The mean values are plot in figure 1

Figure 1 mean BP by position

Conclusion: Based on the analysis, there is a significant difference in mean mpg between the Japanese

and others. The mean mpg among the Japanese cars is higher compared to the others.

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8/8/2019 To Test if There is a Difference in Mean Mile Per Gallon of Cars

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Objective: to test if there is a difference in mean mile per gallon of cars between American,Europian and

Japanese, when controlled for their Horsepower.

Method: a random sample of 254 American, 72 Europian and 78 Japanese cars were selected and their

mile per galon were recorded.

Statistical Analysis: the Analysis of Covariance ANCOVA procedure in SPSS version 17 was used to

answer the objective.

Results:

Table 1 The descriptive statistics are provided in table 1

Descriptive Statistics

Dependent Variable:Miles per Gallon

Country of

Origin Mean Std. Deviation N

American 20.08 6.415 244

European 27.60 6.580 68

Japanese 30.45 6.090 79

Total 23.48 7.781 391

Tests of Between-Subjects Effects

Dependent Variable:Miles per Gallon

Source

Type III Sum of

Squares df Mean Square F Sig.

Corrected Model 15562.733a

3 5187.578 249.482 .000

Intercept 63209.292 1 63209.292 3039.874 .000

horse 7745.424 1 7745.424 372.495 .000

origin 1338.647 2 669.324 32.189 .000

Error 8047.042 387 20.793

Total 239224.740 391

Corrected Total 23609.775 390

a. R Squared = .659 (Adjusted R Squared = .657)

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Tests of Between-Subjects Effects gave a p-value of 0.000, which is less than 0.001. Thus at least one pair

of means difference significantly.

Pairwise Comparisons

Dependent Variable:Miles per Gallon

(I) Country of

Origin

(J) Country of

Origin

Mean Difference

(I-J) Std. Error Sig.a

95% Confidence Interval for

Differencea

Lower Bound Upper Bound

American European -2.428* .679 .001 -4.060 -.796

Japanese -5.179*

.649 .000 -6.739 -3.620

European American 2.428*

.679 .001 .796 4.060

Japanese -2.751*

.754 .001 -4.565 -.937

Japanese American 5.179* .649 .000 3.620 6.739

European 2.751*

.754 .001 .937 4.565

In the pairwise comparison table there is significantly difference between means of mile per gallon of Japanese

cars,Americans and Europians when controlled for their Horsepower.

Based on Descriptive Statistics table the mean of mpg for Japanese cars was significantly higher

compared to the others

The mean values are plot in figure 1

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Figure 1 mean BP by position

Conclusion: Based on the analysis, there is a significant difference in mean mpg between the

Japanese,Americans and Europians. The mean mpg among the Japanese cars is higher compared to the

others.

Objective: to test if there is a difference in mean mile per gallon of cars between American,Europian and

Japanese, when controlled for their vehicle weight.

Method: a random sample of 254 American, 72 Europian and 78 Japanese cars were selected and their

mile per galon were recorded.

Statistical Analysis: the Analysis of Covariance ANCOVA procedure in SPSS version 17 was used to

answer the objective.

Results:

Table 1 The descriptive statistics are provided in table 1

Descriptive Statistics

Dependent Variable:Miles per Gallon

Country of

Origin Mean Std. Deviation N

American 20.13 6.377 248

European 27.89 6.724 70

Japanese 30.45 6.090 79

Total 23.55 7.792 397

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Tests of Between-Subjects Effects

Dependent Variable:Miles per Gallon

Source

Type III Sum of

Squares df Mean Square F Sig.

Corrected Model 16804.227a

3 5601.409 304.174 .000

Intercept 46689.569 1 46689.569 2535.392 .000

weight 8819.269 1 8819.269 478.914 .000

origin 236.672 2 118.336 6.426 .002

Error 7237.145 393 18.415

Total 244239.760 397

Corrected Total 24041.372 396

a. R Squared = .699 (Adjusted R Squared = .697)

Tests of Between-Subjects Effects gave a p-value of 0.002, which is less than 0.05. Thus at least one pair

of means difference significantly.

Pairwise Comparisons

Dependent Variable:Miles per Gallon

(I) Country of

Origin

(J) Country of

Origin

Mean Difference

(I-J) Std. Error Sig.a

95% Confidence Interval for

Differencea

Lower Bound Upper Bound

American European -1.220 .653 .188 -2.791 .351

Japanese -2.362*

.663 .001 -3.956 -.768

European American 1.220 .653 .188 -.351 2.791

Japanese -1.142 .707 .321 -2.843 .558

Japanese American 2.362

*

.663 .001 .768 3.956

European 1.142 .707 .321 -.558 2.843

Based on estimated marginal means

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In the pairwise comparison table there is significantly difference between means of mile per gallon of Japanese

cars and Americans when controlled for their vehicle weight.

Based on Descriptive Statistics table the mean of mpg for Japanese cars was significantly higher

compared to the others.

The mean values are plot in figure 1

Figure 1 mean BP by position

Conclusion: Based on the analysis, there is a significant difference in mean mpg between the Japanese

and Americans. The mean mpg among the Japanese cars is higher compared to the others

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attendant nurs Doctor

8/8/2019 To Test if There is a Difference in Mean Mile Per Gallon of Cars

8/13

Objective: to test if there is a difference in mean mile per gallon of cars between American,Europian and

Japanese, when controlled for their time to accelerate from 0 to 60 mph.

Method: a random sample of 254 American, 72 Europian and 78 Japanese cars were selected and their

mile per galon were recorded.

Statistical Analysis: the Analysis of Covariance ANCOVA procedure in SPSS version 17 was used to

answer the objective.

Results:

Table 1 The descriptive statistics are provided in table 1

Descriptive Statistics

Dependent Variable:Miles per Gallon

Country of

Origin Mean Std. Deviation N

American 20.13 6.377 248

European 27.89 6.724 70

Japanese 30.45 6.090 79

Total 23.55 7.792 397

Tests of Between-Subjects Effects

Dependent Variable:Miles per Gallon

Source

Type III Sum of

Squares df Mean Square F Sig.

Corrected Model 10168.426a

3 3389.475 96.019 .000

Intercept 1531.343 1 1531.343 43.381 .000

accel 2183.469 1 2183.469 61.854 .000

origin 5769.586 2 2884.793 81.722 .000

Error 13872.946 393 35.300

Total 244239.760 397

Corrected Total 24041.372 396

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Tests of Between-Subjects Effects

Dependent Variable:Miles per Gallon

Source

Type III Sum of

Squares df Mean Square F Sig.

Corrected Model 10168.426a

3 3389.475 96.019 .000

Intercept 1531.343 1 1531.343 43.381 .000

accel 2183.469 1 2183.469 61.854 .000

origin 5769.586 2 2884.793 81.722 .000

Error 13872.946 393 35.300

Total 244239.760 397

Corrected Total 24041.372 396

a. R Squared = .423 (Adjusted R Squared = .419)

Tests of Between-Subjects Effects gave a p-value of 0.000, which is less than 0.001. Thus at least one pair

of means difference significantly.

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Pairwise Comparisons

Dependent Variable:Miles per Gallon

(I) Country of

Origin

(J) Country of

Origin

Mean Difference

(I-J) Std. Error Sig.a

95% Confidence Interval for

Differencea

Lower Bound Upper Bound

American European -6.203*

.828 .000 -8.195 -4.212

Japanese -9.305* .778 .000 -11.177 -7.434

European American 6.203* .828 .000 4.212 8.195

Japanese -3.102*

.978 .005 -5.453 -.751

Japanese American 9.305*

.778 .000 7.434 11.177

European 3.102* .978 .005 .751 5.453

.

In the pairwise comparison table there is significantly difference between means of mile per gallon of Japanese

cars and Americans and Europians when controlled for their time to accelerate from 0 to 60 mph .

Based on Descriptive Statistics table the mean of mpg for Japanese cars was significantly higher

compared to the others.

The mean values are plot in figure 1

Figure 1 mean BP by position

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125

130

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140

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attendant nurs Doctor

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Conclusion: Based on the analysis, there is a significant difference in mean mpg between the Japanese

,Americans and Europians. The mean mpg among the Japanese cars is higher compared to the others.

Objective: to test if there is a difference in mean mile per gallon of cars between American,Europian and

Japanese, when controlled for their Filter.

Method: a random sample of 254 American, 72 Europian and 78 Japanese cars were selected and their

mile per galon were recorded.

Statistical Analysis: the Analysis of Covariance ANCOVA procedure in SPSS version 17 was used to

answer the objective.

Results:

Table 1 The descriptive statistics are provided in table 1

Descriptive Statistics

Dependent Variable:Miles per Gallon

Country of

Origin Mean Std. Deviation N

American 20.13 6.377 248European 27.91 6.723 67

Japanese 30.98 5.766 75

Total 23.55 7.823 390

Tests of Between-Subjects Effects

Dependent Variable:Miles per Gallon

Source

Type III Sum of

Squares df Mean Square F Sig.

Corrected Model 12837.391a

3 4279.130 150.581 .000

Intercept 22237.423 1 22237.423 782.527 .000

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filter_$ 4518.272 1 4518.272 158.996 .000

origin 2784.946 2 1392.473 49.001 .000

Error 10969.141 386 28.417

Total 240148.610 390

Corrected Total 23806.532 389

a. R Squared = .539 (Adjusted R Squared = .536)

Tests of Between-Subjects Effects gave a p-value of 0.000, which is less than 0.001. Thus at least one pair

of means difference significantly.

Pairwise Comparisons

Dependent Variable:Miles per Gallon

(I) Country of

Origin

(J) Country of

Origin

Mean Difference

(I-J) Std. Error Sig.a

95% Confidence Interval for

Differencea

Lower Bound Upper Bound

American European -4.219*

.787 .000 -6.110 -2.328

Japanese -7.283*

.757 .000 -9.104 -5.462

European American 4.219*

.787 .000 2.328 6.110

Japanese -3.064* .896 .002 -5.218 -.909

Japanese American 7.283*

.757 .000 5.462 9.104

European 3.064*

.896 .002 .909 5.218

In the pairwise comparison table there is significantly difference between means of mile per gallon ofJapanese,Americans and Europians cars when controlled for their filter .

Based on Descriptive Statistics table the mean of mpg for Japanese cars was significantly higher

compared to the others.

The mean values are plot in figure 1

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Figure 1 mean BP by position

Conclusion: Based on the analysis, there is a significant difference in mean mpg between the

Japanese,Americans and Europians cars. The mean mpg among the Japanese cars is higher compared to

the others

120

125

130

135

140

145

attendant nurs Doctor